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It uses a hybrid combination of Directional Smoothing Filter (DSF), wavelet thresholding using enhanced Bayesian shrinkage rule and method noise for despeckling.
which is a simple shrinkage rule for the given wavelet coefficient under the hypothesis test.
Finally, we reconstruct the denoised signal using the D altered detail coefficients and approximation coefficients of level D. Thus, in DWT schemes, the mother wavelet, shrinkage rule, and noise level rescaling approach must be designated.
Regarding the thresholding method, among the different algorithms, the Stein's Unbiased Risk Estimate (SURE) [51] shrinkage rule and a soft thresholding strategy gave the best results (on simulated signals).
Indeed, there are some general rules about the choice of these parameters: (i) the mother wavelet is selected based on its similarity to the desired signal, (ii) rescaling approach and shrinkage rule are chosen according to the nature of the noise (white or colored) and the variance of the noise.
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This interpretation leads to novel shrinkage rules for two- and higher-dimensional images that are scalar-, vector- or tensor-valued.
We study a class of numerical schemes for nonlinear diffusion filtering that offers insights on the design of novel wavelet shrinkage rules for isotropic and anisotropic image enhancement.
By extending these schemes from a single scale to a multi-scale setting, we end up at hybrid methods that demonstrate the possibility to realise the effects of the most sophisticated diffusion filters within a fairly simplistic wavelet setting that requires only Haar wavelets in conjunction with coupled shrinkage rules.
"Local Shrinkage Rules, Lévy Processes and Regularized Regression". Nicholas G. Polson and James G. Scott; Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2012, 74(2), pp. 287-311.
For an impulse, in relation to which the probability density function can be represented by (9), Hyvärinen used the sparse shrinkage threshold rule [20]: (15).
The shrinkage (7) is known as high-dimensional shrinkage formula.
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